3505148640 has 528 divisors, whose sum is σ = 14463616608. Its totient is φ = 786060288.

The previous prime is 3505148629. The next prime is 3505148737. The reversal of 3505148640 is 468415053.

It is a happy number.

3505148640 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 1 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3505148595 and 3505148604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 66134854 + ... + 66134906.

Almost surely, 2^3505148640 is an apocalyptic number.

3505148640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3505148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231808304).

3505148640 is an abundant number, since it is smaller than the sum of its proper divisors (10958467968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3505148640 is an frugal number, since it uses more digits than its factorization.

3505148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3505148640 is about 59204.2957900860. The cubic root of 3505148640 is about 1519.0386118176.

The spelling of 3505148640 in words is "three billion, five hundred five million, one hundred forty-eight thousand, six hundred forty".